A missile is fired for maximum range with an initial velocity of 20 m/s. If g=10 m/s2, the range of the missile is:
1. 50 m 2. 60 m
3. 20 m 4. 40 m
A projectile is fired at an angle of 45° with the horizontal. The elevation angle α of the projectile at its highest point as seen from the point of projection is:
1. 60° 2. tan-1(12)
3. tan-1(√32) 4. 45°
A particle has an initial velocity (3ˆi+4ˆj) and has an acceleration (0.4ˆi+0.3ˆj). Its speed after 10 s is:
1. 7 unit
2. 7√2 unit
3. 8 unit
4. 8√2 unit
The speed of a projectile at its maximum height is half of its initial speed. The angle of projection is:
1. 60°
2. 15°
3. 30°
4. 45°
A particle moves in the x-y plane according to rule x=asinωt and y=acosωt. The particle follows:
1. | an elliptical path. |
2. | a circular path. |
3. | a parabolic path. |
4. | a straight line path inclined equally to the x and y-axis. |
A body is moving with velocity 30 m/s towards east. After 10 s its velocity becomes 40 m/s towards north. The average acceleration of the body is
(1) 7 m/s2
(2) √7 m/s2
(3) 5 m/s2
(4) 1 m/s2
A particle has an initial velocity (2ˆi+3ˆj) and an acceleration (0.3ˆi+0.2ˆj). The magnitude of velocity after 10 s will be:
1. 9√2 units
2. 5√2 units
3. 5 units
4. 9 units
The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is:
1. θ=tan-1(14)
2. θ=tan-1(4)
3. θ=tan-1(2)
4. θ=45°
The velocity of a projectile at the initial point A is (2i + 3j) m/s. Its velocity (in m/s) at point B is:
1. -2i+3j
2. -2i-3j
3. 2i-3j
4. 2i+3j
A particle is moving such that its position coordinates (x, y) are (2m, 3m) at time t = 0, (6m, 7m) at time t = 2s and (13m, 14m) at time t = 5s. Average velocity vector (vav) from t = 0 to t = 5s is
1. 15(13ˆi+14ˆj)
2. 73(ˆi+ˆj)
3. 2(ˆi+ˆj)
4. 115(ˆi+ˆj)